Matematika

Pertanyaan

Tentukan nilai limit fungsi trigonometri berikut
A. Lim x → phi/2
1 - cos 2x / 2 cos x
B. Lim x → 0
Cos x + cos 3x / 1 - cos 2x

1 Jawaban

  • Limit trigonometri

    1)
    lim(x->pi/2)  (1  - cos 2x )/ (2 cos x)
    x= pi/2 --> (1 - cos 2(pi/2)) / 2 cos pi/2
    = (1 - cos pi)/ (2 cos pi/2)
    = (1 - (-1)/ (2. 0)
    = 2/0
    = ~

    2)
    lim(x->0) (cos x + cos 3x) / (1 - cos 2x)
    sub x = 0
    limit = (cos 0+ cos 0)/ (1 - cos 0)
    limit = (1 + 1)/ (1 -1)
    limit = 2/0
    limit = ~

Pertanyaan Lainnya